We're dividing 377736 by 9 
Our goal is to divide 377736 by 9.

Going ahead to step 1:
If we divide 3 by 9, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 9

Going ahead to step 2:
37 divided by 9 is 4 with a remainder of 1.
Write down 4 as next digit of the result. 
Result so far: 4.0
If we take 36 away from 37, we end up with 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 9

Moving on to step 3:
17 divided by 9 is 1 with a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 41.0
Deduct 9 from 17 and we're left with 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 9

Moving on to step 4:
The number 9 fits into 87 9 times, leaving a remainder of 6.
Put 9 as the next digit of the answer. 
Result so far: 419.0
Subtract 81 from 87 to get 6.
Append the next digit (3) from the dividend to 6 and continue with: 63 / 9

Step 5:
9 can be fit into 63 7 times, resulting in a remainder of 0.
Record the quotient 7 as the next digit in the result. 
Result so far: 4197.0
Subtract 63 from 63 to get 0.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 9

On to step 6:
If we divide 6 by 9, we get 0 and a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 41970.0
Deduct 0 from 6 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
9 can be fit into 60 6 times, resulting in a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 41970.6
If we take 54 away from 60, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 8:
9 goes into 60 6 times with a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 41970.66
Subtracting 54 from 60 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 41970.66 with a balance of 0.006.